The mean of a normally distributed dataset is 12, and the standard deviation is 2.

Mathematics

2 answers:

madam [21]3 years ago

7 0

NormalCdf(-2,2,0,1)=.9545
95.45%

Greeley [361]3 years ago

3 0

Answer:

95.44% of the data lies between 8 and 16.

Step-by-step explanation:

Since, z score or standard score formula is,

$z=\frac{x-\mu}{\sigma}$

Where,

$\mu$ = mean of the data,

$\sigma$ = standard deviation,

Let X represents a data point,

So, we have to find out,

P( 8 < X < 16),

Since,

$P(8 < X < 16)=P(\frac{8-\mu}{\sigma}< Z< \frac{16-\mu}{\sigma})$

$=P(\frac{8-12}{2}$

$=P(-2$

$=P(Z$

$=0.9772-0.0228$ ( By the z-score table )

$=0.9544$

$=95.44\%$

Hence, 95.44% of the data lies between 8 and 16.

You might be interested in

To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of

Neporo4naja [7]

Consider a system of inequalities

Consider inequality in two variable

1. a x + b y ≤ c

2 . p x + q y ≥ r 3. x ≥ 0 4. y≥ 0

By drawing the graph ,You can find the region bounded by inequality 1, then reason bounded by inequality 2 , and then you can find the region common to both the inequality.

Consider the given inequality

x + y ≤2

x + y ≥1,

x≥ 0, y≥0.

You can find the solution below.

So, the Statement, To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of the graphs is True.